Cascade Appearance Signatures of Sterile Neutrinos at 1-100 TeV

Existing tensions and anomalies in neutrino oscillations data suggest the possibility of a fourth, non-active, neutrino. Such a `sterile' neutrino with eV²-scale mass-squared splittings would lead to resonant matter-enhanced oscillations for Earth-crossing atmospheric neutrinos; a signature for which km³-scale neutrino telescopes are distinctly well suited to study. In this talk, we explore the detectability of these signatures at such neutrino telescopes given present constraints on sterile neutrino mixing. As an example, we forecast the sensitivity of the IceCube Neutrino Observatory to the mixing angles θ₁₄, θ₂₄, and θ₃₄ in the 3+1 sterile neutrino model using the cascade channel with ten years of data. We find  that ν_τ appearance signatures consistent with the existing IceCube ν_μ disappearance best-fit point are discoverable for values of θ₃₄ consistent with world constraints, and that the sterile neutrino parameters favored by the BEST and gallium anomalies are expected to be testable at the 95% confidence level.